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81 Cards in this Set

  • Front
  • Back
Total sum of angles on polygon
180(n-2)
Each angle in an equilateral (equiangular) polygon
180(n-2)/2
Vertical angles
Equal
Linear pairs
Supplementary
Alternate interior angles
Congruent
Corresponding angles
Congruent
Central angles
Twice the angle at the circumference


Inscribed angle
Half of the angle at the centre
With tangent lines
90°
Cyclic quadrilaterals
Opposite angles are supplimentory
Perimeter of a parallelogram
2(a+b)
Circumference of a circle
2πr
Arc length (angle given in degrees)
n/360 X 2πr
Arc length (angle given in radians)
r@
Triangle (3 sides) (A)
s= 0.5(a+b+c)

A=√s(s-a)(s-b)(s-c)

Triangle (trigonometry) (A)
1/2 ab sinC
Parallelogram (A)
A=axh
Trapezoid (trapezium) (A)
A= (b1+b2)/2
Kite(A)
A=d1xd2/2
Regular polygon (A)
A=apothem X Perimeter/2
Annulus (A)
A=π(R^2-r^2)
Sector (angle given in degrees) (A)
A= n/360 πr^2
Sector (angle given in radians) (A)
@/2r^2
Segment (A)
A= R^2/2 (π/180C- Sin C)
Prism (SA)
SA+ 2(ab+bc+ac)
Cylinder (SA)
2πr^2+2πrh
Pyramid (SA)
LW+L√(w/2)^2+h^2 + w√(1/2)^2+h^2
Cone (SA)
πr(r+√h^2+r^2)
Sphere (SA)
4πr^2
Prism (Volume)
LWH
Pyramid (Volume)
LWH/3
Sphere
4/3 πr^3
Law of cosines
a^2=b^2+c^2-2ab cosA
Midpoint

M=(X1+X2/2 , Y1+Y2/2)

Distance
d=√(x2-x1)^2 + (y2-y1)^2
Standard form (Linear equations)
Ax+By=C
Slope-intercept form
u=mx+b
Direct variation
y=AX
Slope of parallel lines
The same
Slope of perpendicular lines
Opposite reciprocal
Standard form (Quadratic equations)
y=ax^2+bx+c
Intercept form
y=a(x-p)(x-q)
Vertex form
y=a(x-h)^2+k
quadratic formula
(-b +or-√b^2-4ac)/2a


Discriminant
b^2-4ac
Inverse matrix (2x2)

D, -B,-C,A

Determinant
A B C A B

D E F D E


G H I G H

Cramer's rule (2x2)
Ax= E,B,F,A

Ay= A,E,C,F



a^2-b^2
(a-b)x(a+b)
(a+b)^3
a^3+3a^2b+3ab^2+b^2
(a-b)^3
a^3-3a^2b+3ab^2-b^3
a^3+b^3
(a+b)^3-3ab(a+b)
a^3-b^3
(a-b)^3+3ab(a-b)
Acceleration
vf-vi/t
Mean
x̄= ∑x/n
Mean of grouped data
x̄= Z(mxf)/zf
Range
Largest value- smallest value


Position of median
(n+1)/2
Relative frequency
f/Zf
Cumulative frequency
add this class' frequency to the frequency of previous class


Class width
Highest value in a class- smallest value in class
Frequency density
frequency/total frequency
lower quartile
0.25xn
upper quartile
0.75xn
interquartile range
upper quartile-lower quartile
Simple interest
Invest=PxRxT
Compound interest
A=p(1+r/n)
How do you know if two functions are inverse
f(g(x))=x g(f(x))=x
Total sum of exterior angles of a polygon
360
each exterior angle of an equiangular polygon
360/n
perimeter of a polygon
sum of sides
triangle (A)
BxH/2
Circle (SA)
πr^2
Cylinder (V)
πr^2h
Cone
πr2h/3
Slope/gradient
M=(y2-y1)/(x2-x1)
Pythagorian theory
asdf
SinA
asdf
CosA
asdf
TanA
asdfsadf
Law of Sines
asdf